Commit 3fa4e2b8 authored by Claude Meny's avatar Claude Meny

Update textbook.fr.md

parent 270e6155
Pipeline #13827 canceled with stage
...@@ -174,11 +174,15 @@ $`\displaystyle\;=\int_{\alpha_1}^{\alpha_2}\dfrac{d (uv)}{d\alpha}\,d\alpha ...@@ -174,11 +174,15 @@ $`\displaystyle\;=\int_{\alpha_1}^{\alpha_2}\dfrac{d (uv)}{d\alpha}\,d\alpha
<br> <br>
$`\dfrac{\partial\mathcal{L}}{\partial \dpt{x}_i} \ cdot\delta \dpt{x}_i`$ $`\dfrac{\partial\mathcal{L}}{\partial \dpt{x}_i} \cdot\delta \dpt{x}_i`$
$`\;=\dfrac{\partial\mathcal{L}}{\partial \dpt{x}_i}\cdot\dfrac{d x_i}{dt}`$ $`\;=\dfrac{\partial\mathcal{L}}{\partial \dpt{x}_i}\cdot\dfrac{d x_i}{dt}`$
$`\quad=\dfrac{d}{dt}\bigg({\partial\mathcal{L}}{\partial \dpt{x}_i}\cdot x_i\bigg) $`\quad=\dfrac{d}{dt}\bigg(\dfrac{\partial\mathcal{L}}{\partial \dpt{x}_i}\cdot x_i\bigg)
-\dfrac{d}{dt}\bigg({\partial\mathcal{L}}{\partial \dpt{x}_i}\bigg)\,x_i`$ -\dfrac{d}{dt}\bigg(\dfrac{\partial\mathcal{L}}{\partial \dpt{x}_i}\bigg)\cdot x_i`$
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